Pith Number

pith:4AUSU5XN

pith:2011:4AUSU5XNSBZHSUDRJWTACMQMBH

not attested not anchored not stored refs pending

Approximating the Schur multiplier of certain infinitely presented groups via nilpotent quotients

Ren\'e Hartung

arxiv:1106.1098 v1 · 2011-06-06 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AUSU5XNSBZHSUDRJWTACMQMBH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:53:36.571185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0292a76ed90727950714da601320c09c0a197b2b141ed7287a48689ac3fe33b

Aliases

arxiv: 1106.1098 · arxiv_version: 1106.1098v1 · doi: 10.48550/arxiv.1106.1098 · pith_short_12: 4AUSU5XNSBZH · pith_short_16: 4AUSU5XNSBZHSUDR · pith_short_8: 4AUSU5XN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4AUSU5XNSBZHSUDRJWTACMQMBH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e0292a76ed90727950714da601320c09c0a197b2b141ed7287a48689ac3fe33b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce09660909eb9df7a2aec15fb3e2088fdb2b6c1a86734ddcdb60110bb35a0e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-06T15:49:15Z",
    "title_canon_sha256": "3e7979da531d6dfc36193a93f5a599d629c2dcf0a914b61d58f476051fcc069b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1098",
    "kind": "arxiv",
    "version": 1
  }
}